Timeline for Number of irreducible and connected components constant in flat families
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 29, 2012 at 21:00 | comment | added | Angelo | I did not switch A and B, but you are right that I was not answering your question. I'll clarify tomorrow. | |
| Nov 29, 2012 at 18:54 | comment | added | HNuer | Not to be pedantic, but did you switch A) and B)? Also for your argument in B), $\dim H^0$ of the fiber being the number of connected components doesn't necessarily apply if the fibers have embedded components, which I believe normality rules out, so would reduced geometric fibers be enough there? Also I don't see how semicontinuity finishes it. It implies there is an open set of $S$ upon which the minimal number of components is achieved, but why does this imply it is all of $S$? | |
| Nov 29, 2012 at 17:28 | history | answered | Angelo | CC BY-SA 3.0 |